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Isolating the Variable

Isolating the Variable. UNIT 2 - PHYSICS. Number One Rule of Algebra: Whatever you do on one side of the equation, you MUST do on the other side. Isolating the Variable. Solving with Algebra: U se OPPOSITE functions to get the desired variable alone. Isolating the Variable.

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Isolating the Variable

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  1. Isolating the Variable UNIT 2 - PHYSICS

  2. Number One Rule of Algebra: • Whatever you do on one side of the equation, you MUST do on the other side. Isolating the Variable

  3. Solving with Algebra: • Use OPPOSITE functions to get the desired variable alone. Isolating the Variable

  4. Subtraction is the of OPPOSITE Addition. Strategies

  5. Addition is the of OPPOSITE Subtraction Strategies

  6. Multiplication is the of OPPOSITE Division Strategies

  7. Division is the of OPPOSITE Multiplication Strategies

  8. F + 2g = h F and 2g are being added. What is the OPPOSITE of addition? Subtraction F + 2g = h F = h - 2g Subtract 2g from BOTH sides - 2g - 2g ISOLATE THE LETTER F

  9. F - d = 28 F and d are being subtracted. What is the OPPOSITE of subtraction? Addition F - d = 28 F = 28 + d Add d to BOTH sides + d + d ISOLATE THE LETTER F

  10. F / L = T F is being divided by L. What is the OPPOSITE of division? Multiplication F = T L F = T x L x L Multiply L to BOTH sides x L ISOLATE THE LETTER F

  11. AF = Cavemen A and F are being multiplied. What is the OPPOSITE of multiplication? Division AF = Cavemen F = Cavemen/A Divide BOTH sides by A ________ A __ A ISOLATE THE LETTER F

  12. Fractions are just the combination of and Deal with them Multiplication division SEPARATELY Fractions

  13. 2/5 F = 4m 2 is being divided by 5. What is the OPPOSITE of division? Multiplication 2 F = 4m 5 2 F = 20 m 2 and F are being multiplied. What is the OPPOSITE of multiplication? Division 2F = 20 m Multiply 5 to BOTH sides x 5 x 5 ISOLATE THE LETTER F Divide BOTH sides by 2 F = 10 m __ 2 ____ 2

  14. Never break open a parenthesis unless… The variable you are trying to isolate is inside. Parenthesis

  15. Jail Break 2 (F + v) = 3g

  16. Leave it alone F (2 + v) = 3g

  17. Never break open a square unless… The variable you are trying to isolate is inside. Squares

  18. Jail Break 3F2 = 12p +6

  19. Leave it alone 2FT2 = 12P + 6

  20. Never break open a root unless… The variable you are trying to isolate is inside. Roots

  21. Jail Break (F/g) = 5

  22. Leave it alone F g = 5

  23. Then you have to… Move him up to the top before you can solve. What if OUR variable is on the BOTTOM?

  24. 4w = g F

  25. STEPS: • Identify what we know and want • Circle what we know • Underline what we want • Isolate the Variable • Plug in & Solve Applications

  26. P=mv P = momentum m = mass v = velocity How much velocity does a 5 kg dog need to obtain 35 Ns of momentum? m ? P When we Isolate the Variable… P = mv becomes v = P/m Practice Plug in: v = 35/5 v = 7m/s

  27. T=2π L/g T = time period L = length g = gravity What is the perfect length of a pendulum in a grandfather clock? Gravity is 9.8 m/s2 and we need the period to be exactly 2 seconds ? g T Practice

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